The answer is triangle ACD is congruent to triangle ABD.
Substitution is best to use one one or both equations is already solved for one of the variables. Elimitation can be use if all variables have a coefficient other than 1.
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
Ok, you can refer to the midpoint formula to find the endpoint. Here goes...
MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.
